Fractional powers of hyponormal operators of Putnam type

Toka Diagana

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-8

Abstract:

We are concerned with fractional powers of the so-called hyponormal operators of Putnam type. Under some suitable assumptions it is shown that if A , B are closed hyponormal linear operators of Putnam type acting on a complex Hilbert space ℍ , then D ( ( A + B ¯ ) α ) = D ( A α ) ∩ D ( B α ) = D ( ( A + B ¯ ) ∗ α ) for each α ∈ ( 0 , 1 ) . As an application, a large class of the Schrödinger's operator with a complex potential Q ∈ L loc 1 ( ℝ d ) + L ∞ ( ℝ d ) is considered.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:180286

DOI: 10.1155/IJMMS.2005.1925

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